Title :
A condition for the stability of switched nonlinear systems
Author :
Mancilla-Aguilar, Jose Luis
Author_Institution :
Dept. of Math., Buenos Aires Univ., Argentina
fDate :
11/1/2000 12:00:00 AM
Abstract :
In this paper, we present a sufficient condition for the global asymptotic stability of a switched nonlinear system composed of a finite family of subsystems. We show that the global asymptotic stability of each subsystem and the pairwise commutation of the vector fields that define the subsystems (i.e., the Lie bracket of any pair of them is zero) are sufficient for the global asymptotic stability of the switched system. We also show that these conditions are sufficient for the existence of a common Lyapunov function.
Keywords :
Lie groups; Lyapunov methods; asymptotic stability; group theory; nonlinear control systems; stability criteria; Lie bracket; common Lyapunov function; finite subsystem family; global asymptotic stability condition; switched nonlinear systems; vector field pairwise commutation; Asymptotic stability; Intelligent control; Linear systems; Lyapunov method; Mathematics; Nonlinear systems; Sufficient conditions; Switched systems; Terminology; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
